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Linear and Cubic Box Splines for the Body Centered Cubic Lattice

Abstract

In this paper we derive piecewise linear and piecewise cubic box spline reconstruction ?lters for data sampled on the body centered cubic (BCC) lattice. We analytically derive a time domain representation of these reconstruction ?lters and using the Fourier slice-projection theorem we derive their frequency responses. The quality of these ?lters, when used in reconstructing BCC sampled volumetric data, is discussed and is demonstrated with a raycaster. Moreover, to demonstrate the superiority of the BCC sampling, the resulting reconstructions are compared with those produced from similar ?lters applied to data sampled on the Cartesian lattice.

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Authors
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Supplemental Material
Citation
Category
Paper in Conference Proceedings or in Workshop Proceedings (Full Paper in Proceedings)
Event Title
IEEE Visualization 2004 (Vis04)
Divisions
Visualization and Data Analysis
Subjects
Computergraphik
Event Location
Austin, Texas
Event Type
Conference
Event Dates
October 10-15
ISSN/ISBN
0-7803-8788-0
Date
October 2004
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